The stress state of an elastic orthotropic medium with a penny-shaped crack

被引：0
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作者：
V. S. Kirilyuk
机构：
[1] National Academy of Sciences of Ukraine,S. P. Timoshenko Institute of Mechanics
来源：
International Applied Mechanics | 2004年 / 40卷
关键词：
elastic orthotropic space; circular crack; Fourier transform; Green’s function; perturbed state; stress intensity factor;
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摘要：
The static-equilibrium problem for an elastic orthotropic space with a circular (penny-shaped) crack is solved. The stress state of an elastic medium is represented as a superposition of the principal and perturbed states. To solve the problem, Willis’ approach is used, which is based on the triple Fourier transform in spatial variables, the Fourier-transformed Green’s function for an anisotropic material, and Cauchy’s residue theorem. The contour integrals obtained are evaluated using Gauss quadrature formulas. The results for particular cases are compared with those obtained by other authors. The influence of anisotropy on the stress intensity factors is studied.
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页码：1371 / 1377
页数：6
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